Home / 5,208.26-7,815.42-2,089.76

Finding the Fourth Proportional to 5,208.26, 7,815.42 and 2,089.76

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Solution

The fourth proportional to 5,208.26, 7,815.42 and 2,089.76 is: 3,135.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.26 : 7,815.42 = 2,089.76 : x
  2. Step 2: Convert to fraction form
    5,208.26/7,815.42 = 2,089.76/x
  3. Step 3: Cross multiply
    5,208.26x = 7,815.42 × 2,089.76
  4. Step 4: Simplify right side
    5,208.26x = 16,332,313.02
  5. Step 5: Solve for x
    x = 16,332,313.02/5,208.26
  6. Step 6: Final answer
    x = 3,135.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.